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D. A. B. Miller, "Spatial channels for communicating with waves
between volumes," Optics Lett. 23, 1645-1647 (1998). I show
that there is an exact, complete method for finding the orthogonal spatial channels, or
communications modes, between two arbitrary volumes, and the associated connection
strengths, for the case of scalar waves . I also show that the sum of the squared
connection strengths is given exactly by a simple volume integral. The method is
illustrated by a calculation for a particular extreme pair of volumes, and the
communications modes are interpreted physically as the modes of a double phase conjugate
resonator.
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